RUI: State Selection and Pattern Formation in Non-Equilibrium Systems

RUI：非平衡系统中的状态选择和模式形成

• 批准号: 0076054
• 负责人: Kenneth Elder
• 金额: $ 11.1万
• 依托单位: Oakland University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2000
• 资助国家: 美国
• 起止时间: 2000-09-01 至 2004-04-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0076054&HistoricalAwards=false
• 关键词: RUI; State; Selection; Pattern; Formation

0076054ElderThis is a RUI grant to support theoretical research on systems far from equilibrium. The selection of states in non-equilibrium systems is poorly understood despite the vast array of such phenomena occurring in everyday life and technologically important processes. Examples include everything from coffee stains on a napkin and frost on a window pane to vortex flow patterns in superconductors and cellular interfaces in directional ordering, solidification and viscous fingering experiments. While it is unlikely that a single variational method can be developed to encompass all such phenomena (as the Boltzmann principle does in equlibrium) it may be possible to develop methods for specific classes of phenomena or behavior. The goals of this research are to characterize state selection in a number of important physical systems and to develop a variational principle for a relatively simple class of non-equilibrium systems.%%%This is a RUI grant to support theoretical research on systems far from equilibrium. The selection of states in non-equilibrium systems is poorly understood despite the vast array of such phenomena occurring in everyday life and technologically important processes. Examples include everything from coffee stains on a napkin and frost on a window pane to vortex flow patterns in superconductors and cellular interfaces in directional ordering, solidification and viscous fingering experiments. While it is unlikely that a single variational method can be developed to encompass all such phenomena (as the Boltzmann principle does in equlibrium) it may be possible to develop methods for specific classes of phenomena or behavior. The goals of this research are to characterize state selection in a number of important physical systems and to develop a variational principle for a relatively simple class of non-equilibrium systems.***

0076054 elderthis是RUI拨款，可支持远离均衡的系统的理论研究。 尽管在日常生活和技术上重要的过程中出现了许多现象，但在非平衡系统中的选择尚不清楚。 例如，从餐巾纸上的餐巾和霜冻上的咖啡污渍到超导体和蜂窝界面的涡流流量，在方向排序，固化和粘性指法实验中的涡流流量。 虽然不太可能开发出单个变异方法来涵盖所有这些现象（就像boltzmann原理在equlibrium中所做的那样），但可能有可能为特定现象或行为类别类别开发方法。 这项研究的目标是表征许多重要的物理系统中的状态选择，并为一类相对简单的非平衡系统类别开发一个变异原理。%%％这是一项RUI拨款，旨在支持远离平衡的系统的理论研究。 尽管在日常生活和技术上重要的过程中出现了许多现象，但在非平衡系统中的选择尚不清楚。 例如，从餐巾纸上的餐巾和霜冻上的咖啡污渍到超导体和蜂窝界面的涡流流量，在方向排序，固化和粘性指法实验中的涡流流量。 虽然不太可能开发出单个变异方法来涵盖所有这些现象（就像boltzmann原理在equlibrium中所做的那样），但可能有可能为特定现象或行为类别类别开发方法。 这项研究的目标是表征许多重要的物理系统中的状态选择，并为相对简单的非平衡系统制定变异原理。***